• Title of article

    The Ekeland variational principle for set-valued maps involving coderivatives

  • Author/Authors

    Truong Xuan Duc Ha، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2003
  • Pages
    15
  • From page
    509
  • To page
    523
  • Abstract
    In this paper we use the Fréchet, Clarke, and Mordukhovich coderivatives to obtain variants of the Ekeland variational principle for a set-valued map F and establish optimality conditions for setvalued optimization problems. Our technique is based on scalarization with the help of a marginal function associated with F and estimates of subdifferentials of this function in terms of coderivatives of F.  2003 Elsevier Inc. All rights reserved
  • Keywords
    Optimalitycondition , Ekeland’s variational principle , Coderivative , Set-valued map , Marginal function
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2003
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    930847